{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div align=\"right\"><i>Peter Norvig<br>Dec 2019</i></div>\n",
    "\n",
    "# Predicting Presidential Electoral Votes from Approval Polls\n",
    "\n",
    "Various sites aggregate opinion polls on presidential job performance. The polls are broken out state-by-state, month-by-month at [Mourning Consult](https://morningconsult.com/tracking-trump/). Trump's national **net approval** (percent approving minus percent disapproving) is currently  -7% on [RealClearPolitics](https://www.realclearpolitics.com/epolls/other/president_trump_job_approval-6179.html), -8% on  [538](https://projects.fivethirtyeight.com/trump-approval-ratings/), and -9% on [Gallup](https://news.gallup.com/poll/203198/presidential-approval-ratings-donald-trump.aspx).  There are four big caveats in jumping from these numbers to conclusions about the election:\n",
    "\n",
    "1. Today is not election day 2020. \n",
    "\n",
    "2. We don't know who will be on the ballot in 2020.\n",
    "\n",
    "3. Approval polls are not votes. \n",
    "\n",
    "4. Popular votes are not electoral votes. \n",
    "\n",
    "I have nothing to offer on the first three points. But can we use state-by-state approval polls to \n",
    "predict electoral votes? ***Yes we can!***\n",
    "\n",
    "\n",
    "# TL;DR: In this model, Trump gets 104 to 235 Electoral Votes\n",
    "\n",
    "There is a lot of uncertainty, so I won't try to give an exact single number. Rather, I will say that, as of December 2019, under the assumption that Trump wins the electoral votes of states where he currently has positive net approval and loses the states where he has negative net approval:\n",
    "- His mean expected number of electoral votes is **149.5**.\n",
    "- He is tied (net approval zero) in Texas and North Carolina, so depending on how they go, the total would be **123 to 176**.\n",
    "- If you allow for a swing of up to 3.5% across the board, then the totals range anywere from **104 to 235**.\n",
    "- Recall that you need **270** to win.\n",
    "- To reach 270, he'd need to take all the states where he is ahead or tied, plus six states where he is behind by up to **5%**.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Details for data science nerds\n",
    "\n",
    "View, verify, or modify **[my code](ElectoralVotesCode.ipynb)**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "149.5"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%run ElectoralVotesCode.ipynb\n",
    "\n",
    "EV(states) # Number of electoral vote Trump can expect according to this model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `.5` indicates a tie in one or more states. \n",
    "\n",
    "Imagine a swing in voter approval of just 0.5% in either direction, for every state across the board. That would break ties, and we'd get a range of electoral votes: fewer in one direction, more in the other. If we allowed larger swings in approval, we'd get an even larger range. Here's how it goes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Swing   EV Range\n",
      "±0.5%  123 to 176\n",
      "±1.5%  118 to 205\n",
      "±2.5%  118 to 224\n",
      "±3.5%  104 to 235\n",
      "±4.5%  104 to 253\n",
      "±5.5%   89 to 286\n",
      "±6.5%   79 to 290\n",
      "±7.5%   67 to 290\n",
      "±8.5%   60 to 290\n",
      "±9.5%   52 to 306\n"
     ]
    }
   ],
   "source": [
    "show_swings()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That is, the `4.5%` row says that if Trump's approval slipped 4.5% in every state, he would suffer a blowout loss, getting only 104 electoral votes. If he gained 4.5% in every state, it would be a close loss with 253 electoral votes (to 285 for the opponent)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Details for policy wonks\n",
    "\n",
    "The following plot shows, for each month in office, the expected number of electoral votes, with error bars indicating a 3% approval swing in either direction (that is: the blue diamond is the total number of electoral votes for states where he has net positive approval; the top and bottom of the grey bars give the total if he were to gain or lose 3% in every state. Why 3%? That was the [average error](https://fivethirtyeight.com/features/the-polls-are-all-right/) in national presidential polls in 2016: Clinton was predicted to win the popular vote by 6% but actually only won by 3%.) Trump hasn't been above 270 since 4 months into his term. He's been below 200 for a year."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_evs()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Uncertainty\n",
    "\n",
    "There's a lot of uncertainty. We don't know who  will be on the ballot and what their approval levels will be, we don't know if there is systematic bias in the polling data, we don't know who will decide not to vote, we don't know who will be prevented or dissuaded from voting by interference foreign or domestic, we don't know if future events will change voters' perceptions. In what follows, I assume there is no big event (or events) that makes a dramatic change in the public perception of candidates; rather, just the normal range of change in approval as tracked over the last 3 years of Trump's presidency. I have five ways of understanding the fluidity of the situation:\n",
    "\n",
    "- **Undecided**: Undecided voters could make up their minds late in the election cycle. But there are few undecided voters: in most states, only 3% or 4%. \n",
    "\n",
    "- **Variance**: How much are voters changing their minds from month to month in each state?  I track the standard deviation, 𝝈, of the net approval for each state over the last 12 months (variance is the square of standard deviation).\n",
    "\n",
    "- **Movement**: I define the **maximum expected movement** of approval as 1/5 of the undecided voters (i.e., assume the undecided voters broke 60/40 one way or the other) plus 2 standard deviations in the monthly net approval. \n",
    "\n",
    "- **Swing state**: I define a swing state as one whose maximum expected movement is greater than the absolute value of the net approval. There are **12** such states now.  The swing states are shown below in **BOLD CAPS**.\n",
    "\n",
    "- **Margin**: If you list states in order of net approval, the key turning-point state is Pennsylvania; Trump would need to win that and every state in which he is more popular to reach 270. He currently is **5% behind in Pennsylvania**, so we say that his margin is just over 5%.\n",
    "\n",
    "# State-by-state summary table\n",
    "\n",
    "The following table packs in a lot of information. States are sorted by net approval. The columns are:\n",
    "\n",
    "- **State**: name of state. \n",
    "- **Net**: President's current net approval in state.\n",
    "- **Move**:  Expected maximum movement: 1/5 of the undecided voters  plus 2 standard deviations in the net approval over the last 12 months.\n",
    "- **EV**: State's number of electoral votes.\n",
    "- **ΣEV**: Cumulative running sum of electoral votes of this state and all states above.\n",
    "- **+**: President's current approval in state.\n",
    "- **-**: President's current disapproval in state.\n",
    "- **?**: Undecideds in state.\n",
    "- **𝝈**: Standard deviation in net approval over the past 12 months in state.\n",
    "\n",
    "The table shows that:\n",
    "- If Trump wins the states he is leading or tied in, he gets **176** electoral votes (the **ΣEV** in the TEXAS row).\n",
    "- If he also wins all the swing states, he gets **235** electoral votes (**ΣEV** in the ARIZONA row). \n",
    "- To get to **270**, he would also need to win Ohio and Pennsylvania. \n",
    "- He is currently down by **5%** in Pennsylvania, so that's the margin.\n",
    "- Some traditional swing states currently seem out of reach for Trump: he's at **-15%** in Michigan and **-9%** in Wisconsin.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "|State|Net|Move|EV|ΣEV|+|−|?|𝝈|\n",
       "|-|-|-|-|-|-|-|-|-|\n",
       "|Wyoming|+28%|±11%|3|3|62%|34%|4%|±5.0%\n",
       "|Alabama|+22%|±6%|9|12|59%|37%|4%|±2.4%\n",
       "|West Virginia|+21%|±5%|5|17|59%|38%|3%|±2.1%\n",
       "|Idaho|+16%|±5%|4|21|56%|40%|4%|±2.2%\n",
       "|Tennessee|+15%|±5%|11|32|56%|41%|3%|±2.2%\n",
       "|Kentucky|+14%|±4%|8|40|55%|41%|4%|±1.5%\n",
       "|Mississippi|+14%|±7%|6|46|55%|41%|4%|±3.0%\n",
       "|Arkansas|+10%|±5%|6|52|53%|43%|4%|±1.9%\n",
       "|Louisiana|+9%|±7%|8|60|53%|44%|3%|±3.3%\n",
       "|Oklahoma|+8%|±6%|7|67|52%|44%|4%|±2.5%\n",
       "|Kansas|+7%|±5%|6|73|52%|45%|3%|±2.3%\n",
       "|**UTAH**|**+7%**|**±8%**|6|79|52%|45%|3%|±3.6%\n",
       "|**MISSOURI**|**+6%**|**±6%**|10|89|51%|45%|4%|±2.7%\n",
       "|**NORTH DAKOTA**|**+5%**|**±5%**|3|92|51%|46%|3%|±2.4%\n",
       "|South Carolina|+5%|±5%|9|101|51%|46%|3%|±2.1%\n",
       "|**SOUTH DAKOTA**|**+5%**|**±7%**|3|104|51%|46%|3%|±3.2%\n",
       "|Indiana|+3%|±3%|11|115|50%|47%|3%|±1.2%\n",
       "|**MONTANA**|**+3%**|**±7%**|3|118|50%|47%|3%|±3.0%\n",
       "|**NEBRASKA**|**+1%**|**±7%**|5|123|49%|48%|3%|±3.4%\n",
       "|**NORTH CAROLINA**|**+0%**|**±4%**|15|138|48%|48%|4%|±1.6%\n",
       "|**TEXAS**|**+0%**|**±4%**|38|176|48%|48%|4%|±1.7%\n",
       "|**FLORIDA**|**-1%**|**±3%**|29|205|48%|49%|3%|±1.4%\n",
       "|**ALASKA**|**-2%**|**±7%**|3|208|47%|49%|4%|±3.2%\n",
       "|**GEORGIA**|**-2%**|**±6%**|16|224|47%|49%|4%|±2.5%\n",
       "|**ARIZONA**|**-3%**|**±4%**|11|235|47%|50%|3%|±1.8%\n",
       "|Ohio|-4%|±2%|18|253|46%|50%|4%|±0.8%\n",
       "|Pennsylvania|-5%|±3%|20|273|46%|51%|3%|±1.4%\n",
       "|Virginia|-5%|±4%|13|286|46%|51%|3%|±1.8%\n",
       "|Maine|-6%|±5%|4|290|46%|52%|2%|±2.4%\n",
       "|Iowa|-9%|±4%|6|296|44%|53%|3%|±1.9%\n",
       "|Wisconsin|-9%|±5%|10|306|44%|53%|3%|±2.1%\n",
       "|New Mexico|-10%|±7%|5|311|43%|53%|4%|±3.2%\n",
       "|Minnesota|-11%|±5%|10|321|43%|54%|3%|±2.3%\n",
       "|Nevada|-12%|±5%|6|327|42%|54%|4%|±2.3%\n",
       "|Delaware|-15%|±8%|3|330|41%|56%|3%|±3.5%\n",
       "|Michigan|-15%|±5%|16|346|40%|55%|5%|±1.9%\n",
       "|New Jersey|-15%|±4%|14|360|41%|56%|3%|±1.5%\n",
       "|Colorado|-18%|±6%|9|369|39%|57%|4%|±2.5%\n",
       "|New Hampshire|-19%|±6%|4|373|39%|58%|3%|±2.7%\n",
       "|Oregon|-20%|±5%|7|380|38%|58%|4%|±2.2%\n",
       "|Connecticut|-21%|±3%|7|387|38%|59%|3%|±1.1%\n",
       "|Illinois|-22%|±4%|20|407|37%|59%|4%|±1.6%\n",
       "|Rhode Island|-23%|±4%|4|411|37%|60%|3%|±1.8%\n",
       "|Maryland|-24%|±5%|10|421|36%|60%|4%|±2.1%\n",
       "|New York|-25%|±3%|29|450|36%|61%|3%|±1.3%\n",
       "|Washington|-25%|±4%|12|462|36%|61%|3%|±1.6%\n",
       "|California|-28%|±3%|55|517|34%|62%|4%|±1.3%\n",
       "|Hawaii|-28%|±9%|4|521|34%|62%|4%|±4.2%\n",
       "|Massachusetts|-31%|±4%|11|532|33%|64%|3%|±1.8%\n",
       "|Vermont|-35%|±8%|3|535|31%|66%|3%|±3.6%\n",
       "|District of Columbia|-58%|±6%|3|538|19%|77%|4%|±2.6%"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_states()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Margin and country-wide net approval by month\n",
    "\n",
    "The next plot gives the swing margin needed to reach 270 for each month, along with the country-wide net approval. Trump has been in negative territory on all metrics since his fourth month in office. He's been net -10% or worse country-wide every month since his third in office.  We see that the state-by-state margin roughly correlates with the country-wide net approval, but not exactly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_approval()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Popularity Above Replacement President (PARP) \n",
    "\n",
    "Fivethirtyeight is a combination sports/politics site, and it has a lot of statistics about sports players and how much better they are than the average replacement player. Given that, they [decided](https://fivethirtyeight.com/features/the-states-where-trump-is-more-and-less-popular-than-he-should-be/) to rate the president's approval versus each state's overall approval of the president's party (in recent elections), which is a way of rating the president's performance versus an average replacement candidate from the same party. I'll duplicate that work and keep it up to date. We define the PARP for a state as the president's net approval minus the average party-member's net approval in that state (known as the \"partisan lean\"). \n",
    "\n",
    "In the table below, states are ordered by PARP. In each row we have the state name followed by the partisan lean of the state (positive numbers lean towards the president's party), the electoral votes, and then a pair of statistics (PARP, and net approval (in parentheses)) for four time periods (today,  followed by January of 2019, 2018, and 2017). Trump was more popular than an average Republican at his inauguration in January 2017, with positive PARP in 42 states. But by 2018 he had positive PARP in only 6 states, and today only 2, Hawaii and Rhode Island, where he is deeply unpopular, but not quite as unpopular as other Republicans."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "|State|Lean|EV|PARP|(Net)|PARP'19|(Net)|PARP'18|(Net)|PARP'17|(Net)|\n",
       "|-|-|-|-|-|-|-|-|-|-|-|\n",
       "|Hawaii|-36|4|+8|(-28)|+7|(-29)|+0|(-36)|+23|(-13)|\n",
       "|Rhode Island|-26|4|+3|(-23)|+7|(-19)|+4|(-22)|+22|(-4)|\n",
       "|Delaware|-14|3|-1|(-15)|-1|(-15)|+0|(-14)|+22|(+8)|\n",
       "|Maine|-5|4|-1|(-6)|-6|(-11)|-11|(-16)|+13|(+8)|\n",
       "|Maryland|-23|10|-1|(-24)|-7|(-30)|+0|(-23)|+10|(-13)|\n",
       "|Mississippi|+15|6|-1|(+14)|-2|(+13)|+2|(+17)|+19|(+34)|\n",
       "|Massachusetts|-29|11|-2|(-31)|-2|(-31)|-3|(-32)|+25|(-4)|\n",
       "|New Jersey|-13|14|-2|(-15)|-6|(-19)|-3|(-16)|+15|(+2)|\n",
       "|New Mexico|-7|5|-3|(-10)|-11|(-18)|-13|(-20)|+24|(+17)|\n",
       "|New York|-22|29|-3|(-25)|-2|(-24)|+4|(-18)|+30|(+8)|\n",
       "|California|-24|55|-4|(-28)|-6|(-30)|+1|(-23)|+18|(-6)|\n",
       "|Alabama|+27|9|-5|(+22)|-7|(+20)|+3|(+30)|+9|(+36)|\n",
       "|**NORTH CAROLINA**|+5|15|-5|(+0)|-9|(-4)|-6|(-1)|+13|(+18)|\n",
       "|Virginia|+0|13|-5|(-5)|-10|(-10)|-4|(-4)|+8|(+8)|\n",
       "|**FLORIDA**|+5|29|-6|(-1)|-9|(-4)|+0|(+5)|+17|(+22)|\n",
       "|Pennsylvania|+1|20|-6|(-5)|-11|(-10)|-4|(-3)|+9|(+10)|\n",
       "|Louisiana|+17|8|-8|(+9)|-2|(+15)|+2|(+19)|+14|(+31)|\n",
       "|Illinois|-13|20|-9|(-22)|-10|(-23)|-8|(-21)|+22|(+9)|\n",
       "|Kentucky|+23|8|-9|(+14)|-9|(+14)|-8|(+15)|+11|(+34)|\n",
       "|Minnesota|-2|10|-9|(-11)|-16|(-18)|-12|(-14)|+5|(+3)|\n",
       "|West Virginia|+30|5|-9|(+21)|-6|(+24)|-8|(+22)|+7|(+37)|\n",
       "|Connecticut|-11|7|-10|(-21)|-13|(-24)|-8|(-19)|+16|(+5)|\n",
       "|Wisconsin|+1|10|-10|(-9)|-17|(-16)|-13|(-12)|+5|(+6)|\n",
       "|Ohio|+7|18|-11|(-4)|-13|(-6)|-11|(-4)|+7|(+14)|\n",
       "|Oregon|-9|7|-11|(-20)|-13|(-22)|-11|(-20)|+11|(+2)|\n",
       "|Vermont|-24|3|-11|(-35)|-11|(-35)|-12|(-36)|+22|(-2)|\n",
       "|**ARIZONA**|+9|11|-12|(-3)|-17|(-8)|-12|(-3)|+11|(+20)|\n",
       "|South Carolina|+17|9|-12|(+5)|-9|(+8)|-10|(+7)|+8|(+25)|\n",
       "|**MISSOURI**|+19|10|-13|(+6)|-21|(-2)|-17|(+2)|+0|(+19)|\n",
       "|Nevada|+1|6|-13|(-12)|-14|(-13)|-2|(-1)|+9|(+10)|\n",
       "|Tennessee|+28|11|-13|(+15)|-16|(+12)|-11|(+17)|+5|(+33)|\n",
       "|Washington|-12|12|-13|(-25)|-14|(-26)|-11|(-23)|+13|(+1)|\n",
       "|Arkansas|+24|6|-14|(+10)|-14|(+10)|-11|(+13)|+6|(+30)|\n",
       "|**GEORGIA**|+12|16|-14|(-2)|-14|(-2)|-5|(+7)|+6|(+18)|\n",
       "|Michigan|-1|16|-14|(-15)|-14|(-15)|-9|(-10)|+9|(+8)|\n",
       "|District of Columbia|-43|3|-15|(-58)|-22|(-65)|-21|(-64)|+12|(-31)|\n",
       "|Indiana|+18|11|-15|(+3)|-14|(+4)|-17|(+1)|+4|(+22)|\n",
       "|Iowa|+6|6|-15|(-9)|-20|(-14)|-16|(-10)|+3|(+9)|\n",
       "|**MONTANA**|+18|3|-15|(+3)|-17|(+1)|-18|(+0)|+6|(+24)|\n",
       "|Kansas|+23|6|-16|(+7)|-22|(+1)|-18|(+5)|+1|(+24)|\n",
       "|**ALASKA**|+15|3|-17|(-2)|-14|(+1)|-14|(+1)|+9|(+24)|\n",
       "|Colorado|-1|9|-17|(-18)|-17|(-18)|-13|(-14)|+2|(+1)|\n",
       "|**TEXAS**|+17|38|-17|(+0)|-17|(+0)|-10|(+7)|+3|(+20)|\n",
       "|Idaho|+35|4|-19|(+16)|-20|(+15)|-24|(+11)|-6|(+29)|\n",
       "|Wyoming|+47|3|-19|(+28)|-17|(+30)|-22|(+25)|-7|(+40)|\n",
       "|New Hampshire|+2|4|-21|(-19)|-21|(-19)|-12|(-10)|-1|(+1)|\n",
       "|**NEBRASKA**|+24|5|-23|(+1)|-24|(+0)|-18|(+6)|-1|(+23)|\n",
       "|**UTAH**|+31|6|-24|(+7)|-37|(-6)|-34|(-3)|-4|(+27)|\n",
       "|Oklahoma|+34|7|-26|(+8)|-24|(+10)|-19|(+15)|+0|(+34)|\n",
       "|**SOUTH DAKOTA**|+31|3|-26|(+5)|-25|(+6)|-21|(+10)|-10|(+21)|\n",
       "|**NORTH DAKOTA**|+33|3|-28|(+5)|-29|(+4)|-22|(+11)|-10|(+23)|"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_parp()"
   ]
  }
 ],
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